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Which of the following is NOT a property of an isosceles triangle?

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Question: Which of the following is NOT a property of an isosceles triangle?

Options:

  1. It has two equal sides.
  2. The angles opposite the equal sides are equal.
  3. The area can be calculated using base and height.
  4. All angles are equal.

Correct Answer: All angles are equal.

Solution: 

An isosceles triangle has two equal sides and the angles opposite those sides are equal, but it does not have all angles equal unless it is also equilateral.

Which of the following is NOT a property of an isosceles triangle?

Practice Questions

Q1
Which of the following is NOT a property of an isosceles triangle?
  1. It has two equal sides.
  2. The angles opposite the equal sides are equal.
  3. The area can be calculated using base and height.
  4. All angles are equal.

Questions & Step-by-Step Solutions

Which of the following is NOT a property of an isosceles triangle?
  • Step 1: Understand what an isosceles triangle is. It is a triangle with at least two sides that are equal in length.
  • Step 2: Know that in an isosceles triangle, the angles opposite the equal sides are also equal.
  • Step 3: Remember that an equilateral triangle has all three sides equal and all three angles equal, which is not a property of an isosceles triangle unless it is specifically equilateral.
  • Step 4: Identify the properties of an isosceles triangle: two equal sides and two equal angles. It does not have all angles equal unless it is equilateral.
  • Step 5: Conclude that the property of having all angles equal is NOT a property of a general isosceles triangle.
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